Commutator estimates in von Neumann algebras

被引：0

作者：

Ber, A. F. ^{[1
]}

Sukochev, F. A. ^{[2
]}

机构：

[1] DCF Technol Ltd, Tashkent, Uzbekistan

[2] Univ New S Wales, Sch Math & Stat, Kensington, NSW 2033, Australia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2013年 / 47卷 / 01期

关键词：

derivation; von Neumann algebra; measurable operator; symmetric operator ideal;

D O I：

10.1007/s10688-013-0007-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a von Neumann algebra. For every self-adjoint locally measurable operator a, there exists a central self-adjoint locally measurable operator c (0) such that, given any E > > 0, |[a, u (epsilon) ]| a (c) 3/4 (1 - epsilon)|a epsilon - c (0)| for some unitary operator u (epsilon) a M. In particular, every derivation delta: M -> I (where I is an ideal in M) is inner, and delta = delta (a) for a a I.

引用

页码：62 / 63

页数：2